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Finding the Fourth Proportional to 204,778.90, 307,101.49 and 67,965.24

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Solution

The fourth proportional to 204,778.90, 307,101.49 and 67,965.24 is: 101,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.90 : 307,101.49 = 67,965.24 : x
  2. Step 2: Convert to fraction form
    204,778.90/307,101.49 = 67,965.24/x
  3. Step 3: Cross multiply
    204,778.90x = 307,101.49 × 67,965.24
  4. Step 4: Simplify right side
    204,778.90x = 20,872,227,453.93
  5. Step 5: Solve for x
    x = 20,872,227,453.93/204,778.90
  6. Step 6: Final answer
    x = 101,925.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.